Strong Ditkin algebras without bounded relative units

Details Strong Ditkin algebras without bounded relative units Strong Ditkin algebras without bounded relative units

1998-09-09

arxiv.org/abs/math/9809048v2

Mathematics

Functional Analysis

7 pages, plain tex, some extra comments and references

Scientific paper

In a previous note the author gave an example of a strong Ditkin algebra which does not have bounded relative units in the sense of Dales. In this note we investigate a certain family of Banach function algebras on the one point compactification of the natural numbers, and see that within this family are many easier examples of strong Ditkin algebras without bounded relative units in the sense of Dales.

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